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If \(xy = 5\) and \(x^2 + y^2 = 12,\) then \(\dfrac{x}{y} + \dfrac{y}{x} =\)

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by M7MBA » Sun Apr 26, 2020 10:02 am
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If \(xy = 5\) and \(x^2 + y^2 = 12,\) then \(\dfrac{x}{y} + \dfrac{y}{x} =\)

A. 2 2/5
B. 3 1/7
C. 5 1/3
D. 7
E. 60

[spoiler]OA=A[/spoiler]

Source: Magoosh
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Re: If \(xy = 5\) and \(x^2 + y^2 = 12,\) then \(\dfrac{x}{y} + \dfrac{y}{x} =\)

by Jay@ManhattanReview » Sun Apr 26, 2020 9:47 pm
M7MBA wrote: ↑
Sun Apr 26, 2020 10:02 am
 If \(xy = 5\) and \(x^2 + y^2 = 12,\) then \(\dfrac{x}{y} + \dfrac{y}{x} =\)

A. 2 2/5
B. 3 1/7
C. 5 1/3
D. 7
E. 60

[spoiler]OA=A[/spoiler]

Source: Magoosh
Dividing \(x^2 + y^2 = 12\) by \(xy = 5\), we get \(\dfrac{x}{y} + \dfrac{y}{x} =\dfrac{12}{5}=2\dfrac{2}{5}\)

The correct answer: A

Hope this helps!

-Jay
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